Delhi University MCA Vector spaces Previous Year Question Paper and Solution with PDF

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Let T = R³→R³ be a linear transformation defined by T(x,y,x) = (x-y, y-z, z-x). If rank(T) = ρ and nulity(T)=

Let U and V be vector spaces.

Then they are isomorphic iff there is a bijection from a basis of U to a basis of V.

The isomorphism is the basis changer function.

This means that if U and V are finite-dimensional vector spaces, they are isomorphic iff dim(U)=dim(V).

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